Answers
Answer:
x = 17
Step-by-step explanation:
The sum of all angle measures in any triangle is 180 degrees.
Thus, 23 + 5x - 18 + 90 = 180.Step 1: Simplify both sides of the equation.
[tex](5x)+(23+90-18)=180[/tex] [tex]5x+95=180[/tex]Step 2: Subtract 95 from both sides.
[tex]5x+95-95=180-95[/tex] [tex]5x=85[/tex]Step 3: Divide both sides by 5.
[tex]5x/5=85/5[/tex][tex]x=17[/tex]Step 4: Check if solution is correct.
[tex](5*17-18)+23+90=180[/tex] [tex]67+23+90=180[/tex] [tex]180=180[/tex]Thus, x = 17.
Related Questions
The table of values represents a polynomial function f(x)
x f(x)
4 358
5 690
6 1178
7 1852
8 2742
9 3878
How much greater is the average rate of change over the interval [6,8] than the interval [5,7]?
Answers
============================================================
Explanation:
The average rate of change is the same as the slope of the line through the endpoints mentioned.
The interval [6, 8] means that we're talking about [tex]6 \le x \le 8[/tex]
When x = 6, we have y = f(x) = 1178When x = 8, we have y = f(x) = 2742So we're tasked to find the slope of the line through (6,1178) and (8,2742)
We'll use the aptly named slope formula.
[tex](x_1,y_1) = (6,1178) \text{ and } (x_2,y_2) = (8,2742)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2742 - 1178}{8 - 6}\\\\m = \frac{1564}{2}\\\\m = 782\\\\[/tex]
The slope through those two endpoints is 782, which is the average rate of change on the interval [6, 8].
------------------
For the interval [5,7] we have [tex]5 \le x \le 7[/tex]
According to the function table,
When x = 5, y = 690When x = 7, y = 1852Like before, use the slope formula to find the slope through (5,690) and (7,1182)
[tex](x_1,y_1) = (5,690) \text{ and } (x_2,y_2) = (7,1182)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1182 - 690}{7 - 5}\\\\m = \frac{492}{2}\\\\m = 246\\\\[/tex]
This is the average rate of change on the interval [5,7].
------------------
The last step is to subtract the slopes:
782 - 246 = 536 which is the final answer
Why f([tex]\pi[/tex]) = 0 and f '([tex]\pi[/tex]) = 3
When [tex]\lim_{x \to \\\pi } \frac{f(x)}{x-\pi} = 3[/tex]
Answers
Answer:
application of L'Hopital's rule to the presumed indeterminate form yields this conclusion
Step-by-step explanation:
This is a reverse application of L'Hopital's rule for determining the limits involving indeterminate forms.
When the expression evaluated at the limit is 0/0, then L'Hopital's rule tells you the limit can be found from n'/d', where n and d are the numerator and denominator of the original expression, respectively.
We can see that x-π = 0 at x=π, so we assume that f(π) = 0 as well, and the expression n/d = f(x)/(x-π) evaluates to the indeterminate form 0/0.
The derivatives are ...
n' = f'(x)
d' = 1
Then we have the limit as ...
lim{x→π) = n'/d' = f'(π)/1 = 3 ⇒ f'(π) = 3
The conclusion f(π)=0 and f'(π)=3 follows from L'Hopital's Rule.
A restaurant will select 1 card from a bowl to win a free lunch. Jimmy puts 10 cards in the bowl. The bowl has a total of 150 cards in it when they do the drawing. What are the odds of Jimmy winning a free lunch?
Answers
Out of 150 cards, 10 of those are Jimmy's -> The probability of Jimmy winning a free lunch is 10 : 150 = 10/150 (simplified as 1/15)
If you answer my question, you will get points
What is the second smallest prime number
Answers
Answer:
3
Step-by-step explanation:
3 is the second smallest prime number.
The second smallest prime number is 3
What are prime numbers:
⇒ numbers that are divisible only by itself and '1'
⇒thus they are numbers that have exactly two factors, itself and one
The first prime number is 2, not 1, because 1 doesn't have two factors. Thus, the second prime number is 3.
Hope that helps!
Help on this math question it'd the last one : ))
Answers
Answer:
70 [tex]ft^{3}[/tex]
Step-by-step explanation:
B = l x w
B = 2.5 x 7
B = 17.5
V = Bh
V = 17.5(4)
V = 70
units are cubed for volume
Its easier to multiply the 3 number and get the answer instead of doing multiple steps
A teacher asks four students the question, “Can a triangle have more than one right angle, and why?” The table lists the students’ responses.
Answers
Considering the sum of the internal angles of a triangle, it is found that the correct student is Paige.
What is the sum of the internal angles of a triangle?The sum of the three internal angles of a triangle is of 180º, and none of the angles can be zero.
Hence, a triangle can have at most one right angle(angle of 90º), and researching the question on the internet, the student who states this is Paige.
More can be learned about the sum of the internal angles of a triangle at https://brainly.com/question/25215131
let n (AUB)=32n(B)=16and n(ANB)9 find n (A)
Answers
Answer:
32
Step-by-step explanation:
n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)
Given n(A)= ? we represent with x
n(B)= 16
n(A∪B) = 32
Substituting in equation 1 to get n(A)
32 = n(A) + 9 − 9
⇒n(A) = 32 − 0
n(A) = 32
to confirm this we put the values into the formula below
n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)
32 = 32 + 9 - 9
Answer:
n(A) = 25
Step-by-step explanation:
The relation between cardinality of two sets and that of their union and intersection is ...
n(A∪B) = n(A) +n(B) -n(A∩B)
32 = n(A) +16 -9 . . . . . use the given information
25 = n(A) . . . . . . . . . subtract 7
help me ASAP...
no links
Answers
Answer:
2 , 3 , 1 , 4
Step-by-step explanation:
Best way to convert fractions to decimals without a calculator is to look at denominator.
divide 100 by the denominator.
take your answer and multiply the numerator by that number.
put a decimal in front of answer
example : [tex]\frac{7}{20}[/tex]
100 divided by 20 is 5
5 times 7 is 35
place a decimal in front of answer
.35
I need someone to find the answer this question involves mathematics and paper
no links that you
Answers
Answer:
[A] 3 1/2
Step-by-step explanation:
[tex]\mathrm{Given}[/tex]
[tex]4\frac{5}{8}-1\frac{1}{8}[/tex]
[tex]\mathrm{Subtract\;Whole\;numbers}[/tex]
[tex]4-1=3[/tex]
[tex]\mathrm{Combine\;fractions}[/tex]
[tex]\frac{5}{8}-\frac{1}{8}=\frac{4}{8}=\frac{1}{2}[/tex]
[tex]=3+\frac{1}{2}[/tex]
[tex]=3\frac{1}{2}[/tex]
Hence, the answer is [A] 3 1/2
~Lenvy~
Of the 175 students in the auditorium, 140
were wearing headphones. What percent
were wearing headphones? PLS HELP ME 30 POINTS with explanation
Answers
Answer: 234
Step-by-step explanation: by getting the 175 and multiple them to get 234 if you percent the area of 140 to put together.
Answer:
Step-by-step explanation:
[tex]Percentage=\dfrac{number \ of \ students \ wearing \ headphones}{Total \ students}*100\\\\\\=\dfrac{140}{175}*100\\\\\\= \dfrac{140}{7}*4\\\\\\=20*4\\\\[/tex]
= 80%
what is the area of this shape? the answer isn't 92 cm squared
Answers
Answer:
80cm^2
Explanation:
Okay to do this, it's often better to find the area of each shape separately.
Let's start with the top rectangle:
4cm*7cm = 28cm^2
Bottom rectangle:
to find the length of it, we just add 3cm and 7cm which = 10cm
so:
10cm*4cm = 40cm^2
And finally the triangle:
to find the bottom side: 13cm - 7cm - 3cm = 3cm
to find the height: 4cm + 4cm = 8cm
so:
8cm*3cm*/2 = 24cm/2
= 12cm^2
Now we add them all up:
28 + 40 + 12 = 80cm^2
Answer:
Corrected Question:[ Refer to the above attachment ]
Solution:In the given figure there are two shapes:
A RectangleA TriangleFirst, we have to find the area of Rectangle ABGF & DCGE. After that, area of triangle CHB.
1) Area of Rectangle ABGF:
As, we know:
Formula for Area :-
★ Length × Breadth ★
where,
Length = FA = 4cm Breadth = GF = 10cm ( 7+3 )➝ 4 cm × 10 cm
➝ 40 cm²
Hence, the area of Rectangle ABGF is 40cm².
2) Area of Rectangle DCGE:
As, we know:
Formula for Area :-
★ Length × Breadth ★
where,
Length = ED = 4cm Breadth = DC = 7cm➝ 4 cm × 7 cm
➝ 28 cm²
Hence, the area of Rectangle DCGE is 28cm².
3) Area of Triangle CHB:
As, we know:
Formula for Area :-
★ ½ ( base × height ) ★
where,
Base = 3cm Height = 8cm➝ ½ ( 3cm × 8cm )
➝ ½ ( 24cm )
➝ ½ × 24cm
➝ 12 cm²
Hence the Area of Triangle CHB is 12cm².
Now, Area of Given Shape is:
➝ 40cm² + 28cm² + 12cm²
➝ 52cm² + 28cm²
➝ 80cm²
Thus, the area of the given shape is 80cm².
____________________Additional Information:[ Formula's for Area ]
★ Square = (Side)²
★ Rectangle = Length × Breadth
★ Triangle = ½bh
★ Circle = πr²
Given quadrilateral ABCD with vertices A (1,1), B (5,2), C (8, -6), and D (0, -8). Which statements are correct
Answers
A quadrilateral is a shape with four vertices
The true statement about the quadrilateral ABCD is that the quadrilateral has unequal lengths
How to determine the true statement?The coordinates of the vertices are given as:
A = (1,1)
B = (5,2)
C = (8, -6)
D = (0, -8)
Next, we calculate the distance between the vertices using the following distance formula
[tex]d=\sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]AB=\sqrt{(1 -5)^2 + (1 -2)^2} = \sqrt{17}[/tex]
[tex]BC=\sqrt{(5 - 8)^2 + (2 +6)^2} = \sqrt{73}[/tex]
[tex]CD=\sqrt{(8 - 0)^2 + (-6 + 8)^2} = \sqrt{68}[/tex]
[tex]DA=\sqrt{(0 - 1)^2 + (-8 - 1)^2} = \sqrt{82}[/tex]
From the above computation, we have the lengths to be unequal
Hence, the true statement about the quadrilateral ABCD is that it has unequal lengths
Read more about quadrilaterals at:
https://brainly.com/question/16691874
Question 8 of 10
Find the solution(s) to 2x2 - 7x+3 = 0. Check all that apply.
A. X= -3
B. x = 2
c. x=-1
OD. X = 3
E. x= }
SUBMIT
Answers
Answer:
A. 42
B. -3
C. 12
D. 0
D is the answer
Step-by-step explanation:
2x² - 7x + 3
A.
2(-3)² - 7(-3) + 3
18 + 21 + 3 = 42
B.
2(2)² - 7(2) + 3
8 - 14 + 3 = -3
C.
2(-1)² - 7(-1) + 3
2 + 7 + 3 = 12
D.
2(3)² - 7(3) + 3
18 - 21 + 3 = 0
I'm not sure what E is, sorry about that. I hope this helped!
Vocabulary Use a vocabulary word to complete the sentence.
An__________ fraction names the
same region, part of a set, or part of a segment.
Answers
A large random sample was taken of body temperatures of women at a university. The data from the sample were normally distributed with a mean body temperature of
98.52°F and a standard deviation of 0.727°F. Based on this sample, which percentage is the best estimate of the proportion of all women at this university who have a body
temperature more than 2 standard deviations above the mean?
Answers
About 2.5% of the women have a body temperature more than 2 standard deviations above the mean.
What is the empirical rule?Empirical rule states that for a normal distribution, about 68% of the values fall within one standard deviation from the mean, 95% of the values fall within two standard deviation from the mean and 99.7% of the values fall within three standard deviation from the mean.
Amount that have more than 2 standard deviations above the mean = (100% - 95%) / 2 = 2.5%
About 2.5% of the women have a body temperature more than 2 standard deviations above the mean.
Find out more on empirical rule at: https://brainly.com/question/10093236
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 The truck is transporting 60 large boxes and 55 small boxes. If the truck is carrying a total of 4050 pounds in boxes, how much does each type of box weigh?
Answers
Step-by-step explanation:
x = weight of a small box
y = weight of a large box
x + y = 70 pounds
55x + 60y = 4050 pounds
from the first equation we get
x = 70 - y
and we can use that identity in the second equation :
55(70 - y) + 60y = 4050
3,850 - 55y + 60y = 4050
5y = 200
y = 40 pounds
x = 70 - y = 70 - 40 = 30 pounds
so, a small box weighs 30 pounds, and a large box weighs 40 pounds.
help me please, im stuck on this question
Answers
Answer:
4.95/1.1 = 4.5 approximately 5 bags
What is the median of this data set? {29, 22, 23, 31, 29, 29, 22, 23} Enter your answer in the box.
Answers
Answer:
The median is 26
Step-by-step explanation:
A "median" is equivalent to, when the terms are arranged in the proper order, whichever term is in the "middle".
So- first, arrange the terms in ascending order.
[22, 22, 23, 23, 29, 29, 29, 31]
There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.
(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.
(52)/2 = 26
Therefore, the median is 26.
I hope this helped! :)
Answer:
The answer is 26 hope this helps:DD
Step-by-step explanation:
Answer for: K12 5.03 Quiz: Median
WORKS
8 A luxury mansion has a semicircular stencilled concrete drive that is 3.0 m wide. The inside radius is 17.0 m
and the outside radius is 20.0 m. How many metres of edge board would be required to form the drive?
Answers
Considering the circumference of the circles, it is found that 18.9 metres of edge board would be required to form the drive.
What is the circumference of a circle?The circumference of a circle of radius r is given by:
[tex]C = 2\pi r[/tex]
In this problem, considering that the outside radius is 20.0 m and the inside radius if of 17.0 m, the drive has a radius of r = 3 m, hence:
[tex]C = 2\pi r[/tex]
[tex]C = 2\pi \times 3[/tex]
[tex]C = 6\pi[/tex]
[tex]C = 18.9[/tex]
18.9 metres of edge board would be required to form the drive.
More can be learned about the circumference of a circle at https://brainly.com/question/25846963
4. Is the following relation a function? (2 points)
X Y
-1 -2
2 3
3 1
6 -2
O Yes
O No
Answers
A function is a relation in which there is only one y-value for every x-value.
For every 1 input, we only get 1 output.
AnswerEvery value of x produces a single value of y.
Therefore, this relation is a function.
ASAPPP HELP
PLEASE!!!!!!
Answers
Answer:
-36/7
Step-by-step explanation:
-4/7 x 9
-4 x 9/ 7
That’s how I got -36/7
Which expression is a quadratic binomial?
2x4+9x2−6x−1
3x4−2x
7x²
x2−9x
Answers
Answer:
x2-9x is a quadratic binomial. :)
As an estimation we are told £3 is €4.
Convert €44.80 to pounds.
Give your answer rounded to 2 DP.
Answers
Answer:
x= 59.73
HOPE IT HELPSSSS
What is the mean of the data set? O 5 6 07 O 8 errrrrrrrrggggg please I will give you brainliest
Answers
Answer: 7
Step-by-step explanation:
The sum of the values is 63, and there are 9 values. Since mean=(sum of values)/(number of values), we get 63/9 = 7.
(32 divided by 4)+(3x4)
Answers
Answer:
20
Step-by-step explanation:
the answer is 20
Have a good day :)
4) height = 18 in; radius = 12 in
=
=
Volume=
Answers
Answer:
the answer is 13yd
Step-by-step explanation:
you have to devide and have to mutlpy
Rewrite in simplest terms: -8(-2a+4a-8)-7a
Answers
Answer:
-23a + 64
Step-by-step explanation:
-8(-2a + 4a - 8) - 7a
First combine like terms
-8(2a - 8) - 7a
Then distribute
-16a + 64 -7a
Combine like terms
-23a + 64
Solve for d.
d/9 = 27
d = 243
d = 3
d = 36
d = 18
Answers
Answer:
d=243
Step-by-step explanation:
[tex] \frac{d}{9} = 27[/tex]
Multiply both sides by 9
D= 243.
To test it:
[tex] \frac{243}{9} = 27[/tex]
Calculator verifys it.
Hope that helped ;)
What decimal place does the digit "2" occupy in the number 432,079?
hurry pleaseee i need help
Answers
Answer: Thousand
The 4 is in the hundred thousand
The 3 is in the ten thousand
The 2 is in the thousand
The 0 is in the hundred
The 7 is in the tens
The 9 is in the ones
Question 2 of 11, Step 1 of 1
what is the other number?
The product of two numbers is 20. If one of the numbers is 4/7
Answers
Answer:
35
Step-by-step explanation:
Let other number be X
According to the question
4 × X= 20
7
X=20×7
4
X=35